Answer: Interval and radius of convergence Determine the

Chapter 8, Problem 11E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Interval and radius of convergence Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence.

\(\sum \frac{x^{k}}{k^{k}}\)

Questions & Answers

QUESTION:

Interval and radius of convergence Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence.

\(\sum \frac{x^{k}}{k^{k}}\)

ANSWER:

Solution 11E

Step 1:

Given series is and
To determine the radius of convergence we use ratio test which states:

The ratio test states that:
a. If  

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back